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learn:courses:real-analog-chapter-10:start [2017/05/05 18:04] – [Example 10.19] Marthalearn:courses:real-analog-chapter-10:start [2022/10/04 11:38] (current) – external edit 127.0.0.1
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 ====== Real Analog: Chapter 10 ====== ====== Real Analog: Chapter 10 ======
--->Chapter 10 Downloads# +[[{}/learn/courses/real-analog-chapter-9/start|Back to Chapter 9]] 
-  * {{ :learn:courses:real-analog-chapter-10:realanalog-circuits1-chapter10.pdf |Chapter 10 PDF}}+-->Chapter 10 Materials#   
 +  * Lecture Material: 
 +    * {{ :learn:courses:real-analog-chapter-10:lecture25.ppt |Lecture 25 PowerPoint Slides}}: Introduction to steady-state sinusoidal analysis, system response to complex units, phasor representation of sinusoids 
 +    * {{ :learn:courses:real-analog-chapter-10:lecture26.ppt |Lecture 26 PowerPoint Slides}}: Phasor diagrams, phasor representations of circuit elements 
 +    * {{ :learn:courses:real-analog-chapter-10:lecture27.ppt |Lecture 27 PowerPoint Slides}}: Impedance and admittance, steady-state sinusoidal analysis 
 +    * {{ :learn:courses:real-analog-chapter-10:lecture28.ppt |Lecture 28 PowerPoint Slides}}: Frequency domain system characterization, frequency response 
 +    * [[http://www.youtube.com/watch?v=Uax5C5AuhTA&list=PLDEC730F6A8CDE318&index=28&feature=plpp_video| Lecture 25 Video]] 
 +    * [[http://www.youtube.com/watch?v=NvfIuRmuvZE&list=PLDEC730F6A8CDE318&index=29&feature=plpp_video| Lecture 26 Video]] 
 +    * [[http://www.youtube.com/watch?v=x47OkCixxgs&list=PLDEC730F6A8CDE318&index=30&feature=plpp_video| Lecture 27 Video]] 
 +    * [[http://www.youtube.com/watch?v=4kEh2dgdgmQ&list=PLDEC730F6A8CDE318&index=31&feature=plpp_video| Lecture 28 Video]] 
 +  * Chapter 10 Videos: 
 +    * [[http://www.youtube.com/watch?v=zjlNchNTI4I&list=PL170A01159D42313D&index=20&feature=plpp_video| Lab 10 Video 1]]: Measuring Gain & Phase: Measuring steady-state sinusoidal responses of circuits and estimating gain and phase differences between sinusoidal signals. 
 +    * [[http://www.youtube.com/watch?v=fWZjpZJlcCo&list=PL170A01159D42313D&index=21&feature=plpp_video| Lab 10 Video 2]]: Impedance Measurement: Gain and phase measurement in terms of impedance. 
 +  * {{ :learn:courses:real-analog-chapter-10:real-analog-chapter-10.pdf | Chapter 10 Complete PDF}}
     * {{ :learn:courses:real-analog-chapter-10:lab10p4p1.pdf |Lab 10.4.1}}     * {{ :learn:courses:real-analog-chapter-10:lab10p4p1.pdf |Lab 10.4.1}}
-      * {{ :learn:courses:real-analog-chapter-10:lab10p4p1_worksheet.docx |10.4.1 Worksheet}}+      * {{ :learn:courses:real-analog-chapter-10:lab10p4p1_worksheet.docx |Worksheet 10.4.1}}
     * {{ :learn:courses:real-analog-chapter-10:lab10p6p1.pdf |Lab 10.6.1}}     * {{ :learn:courses:real-analog-chapter-10:lab10p6p1.pdf |Lab 10.6.1}}
-      * {{ :learn:courses:real-analog-chapter-10:lab10p6p1_worksheet.docx |10.6.1 Worksheet}}+      * {{ :learn:courses:real-analog-chapter-10:lab10p6p1_worksheet.docx |Worksheet 10.6.1}}
     * {{ :learn:courses:real-analog-chapter-10:lab10p6p2.pdf |Lab 10.6.2}}     * {{ :learn:courses:real-analog-chapter-10:lab10p6p2.pdf |Lab 10.6.2}}
-      * {{ :learn:courses:real-analog-chapter-10:lab10p6p2_worksheet.docx |10.6.2 Worksheet}}+      * {{ :learn:courses:real-analog-chapter-10:lab10p6p2_worksheet.docx |Worksheet 10.6.2}}
     * {{ :learn:courses:real-analog-chapter-10:lab10p6p3.pdf |Lab 10.6.3}}     * {{ :learn:courses:real-analog-chapter-10:lab10p6p3.pdf |Lab 10.6.3}}
-      * {{ :learn:courses:real-analog-chapter-10:lab10p6p3_worksheet.docx |10.6.3 Worksheet}}+      * {{ :learn:courses:real-analog-chapter-10:lab10p6p3_worksheet.docx |Worksheet 10.6.3}}
     * {{ :learn:courses:real-analog-chapter-10:lab10p6p4.pdf |Lab 10.6.4}}     * {{ :learn:courses:real-analog-chapter-10:lab10p6p4.pdf |Lab 10.6.4}}
-      * {{ :learn:courses:real-analog-chapter-10:lab10p6p4_worksheet.docx |10.6.4 Worksheet}} +      * {{ :learn:courses:real-analog-chapter-10:lab10p6p4_worksheet.docx |Worksheet 10.6.4}}
   * {{ :learn:courses:real-analog-chapter-10:realanalog-exercisesolutions-chapter10.pdf |Exercise Solutions}}: Chapter 10 exercise solutions   * {{ :learn:courses:real-analog-chapter-10:realanalog-exercisesolutions-chapter10.pdf |Exercise Solutions}}: Chapter 10 exercise solutions
   * {{ :learn:courses:real-analog-chapter-10:homework10.docx |Homework}}: Chapter 10 homework problems   * {{ :learn:courses:real-analog-chapter-10:homework10.docx |Homework}}: Chapter 10 homework problems
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 {{ :learn:courses:real-analog-chapter-10:chapter10r.png |Example image 1.}} {{ :learn:courses:real-analog-chapter-10:chapter10r.png |Example image 1.}}
  
-In [[https://reference.digilentinc.com/learn/courses/real-analog-chapter-8/start#example_81series_rlc_circuit|section 8.1]], it was determined that the differential equation governing the system is:+In [[/learn/courses/real-analog-chapter-8/start#example_81series_rlc_circuit|section 8.1]], it was determined that the differential equation governing the system is:
  
 $$\frac{d^2v(t)}{dt^2} + \frac{R}{L} \frac{dv(t)}{dt} + \frac{1}{LC} v(t) = \frac{1}{LC} v_S(t) (Eq. 10.53)$$ $$\frac{d^2v(t)}{dt^2} + \frac{R}{L} \frac{dv(t)}{dt} + \frac{1}{LC} v(t) = \frac{1}{LC} v_S(t) (Eq. 10.53)$$
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 $$v_{out}(t) = \frac{3}{\sqrt{3}} \cos(2t-25^{\circ})$$ $$v_{out}(t) = \frac{3}{\sqrt{3}} \cos(2t-25^{\circ})$$
  
-When $v_{in} = 7 \cos(4t-60^{\circ}$, $\omega = 4$ rad/sec, $|V_{in}|=7$ and $\angle V_{in} = -60^{\circ}$. For this value of $\omega$, and the given values of R and C, the magnitude and phase of the frequency response function are:+When $v_{in} = 7 \cos(4t-60^{\circ})$, $\omega = 4$ rad/sec, $|V_{in}|=7$ and $\angle V_{in} = -60^{\circ}$. For this value of $\omega$, and the given values of R and C, the magnitude and phase of the frequency response function are:
  
 $$|H(j4)|= \frac{1}{\sqrt{1+(\omega RC)^2}}=\frac{1}{\sqrt{5}}$$ $$|H(j4)|= \frac{1}{\sqrt{1+(\omega RC)^2}}=\frac{1}{\sqrt{5}}$$
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 {{ :learn:courses:real-analog-chapter-10:chapter10bt.png |Exercise image 2.}} {{ :learn:courses:real-analog-chapter-10:chapter10bt.png |Exercise image 2.}}
  
 +
 +
 +[[{}/learn/courses/real-analog-chapter-9/start|Back to Chapter 9]]
 +[[{}/learn/courses/real-analog-chapter-11/start|Go to Chapter 11]]